Generalization of intuitionistic fuzzy $n$-normed spaces via $\psi$-extensions

Authors

  • Sadashiv G. Dapke Department of Mathematics, Iqras H. J. Thim College of Arts and Science, Jalgaon, India.

DOI:

https://doi.org/10.23755/rm.v55i0.1716

Keywords:

Intuitionistic fuzzy $n$-normed space, Intuitionistic fuzzy $\psi-n$-normed space

Abstract

The aim of this paper is to study the generalization of intuitionistic fuzzy normed spaces to intuitionistic fuzzy $n$-normed spaces. In this framework, we discuss intuitionistic fuzzy $n$-continuity and intuitionistic fuzzy $n$-boundedness. Furthermore, we introduce the intuitionistic fuzzy $\psi$-$n$-normed space, which generalizes the intuitionistic fuzzy $n$-normed space. Several results and properties in this new set-up are also presented and analyzed.

Author Biography

  • Sadashiv G. Dapke, Department of Mathematics, Iqras H. J. Thim College of Arts and Science, Jalgaon, India.
    Head and Associate Professor, Iqras H. J. Thim College of Arts and Science, Jalgaon, India.

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Published

2025-12-31

Issue

Vol. 55 (2025)

Section

Volume 55-2025

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